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Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Published 12 Jul 2022 in math.DG | (2207.05673v1)

Abstract: In this paper, we prove a generalized Minkowski inequality holds for any smooth, $(k-1)$-convex, starshaped domain $\Omega.$ Our proof relies on the solvability of the degenerate $k$-Hessian equation on the exterior domain $\mathbb Rn\setminus\Omega.$

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